Question

Colimits of a diagram over an ordinal number

score 86 · Answer 1 · 2022-01-23 05:31:30

86

Views

Colimits of a diagram over an ordinal number

Published on 23 Jan 2022 - 5:31

score 46 · Answer 2 · 2022-01-24 09:52:10

46

Views

Simpler description of pushout in $\mathsf{Set}$ and $\mathsf{Top}$ when one of the two maps is injective

Published on 24 Jan 2022 - 9:52

score 62 · Answer 3 · 2022-01-27 22:32:27

62

Views

Are singleton sets nullary products or unary products in the category of sets? (Or are they both nullary and unary simultaneously?)

Published on 27 Jan 2022 - 22:32

score 59 · Answer 4 · 2022-01-29 21:20:36

59

Views

Counterexample: existence of categorical product of family does not imply existence of categorical product of subfamily

Published on 29 Jan 2022 - 21:20

score 59 · Answer 5 · 2022-01-30 19:35:52

59

Views

Existence of Limits in Category theory in Roman's book

Published on 30 Jan 2022 - 19:35

score 117 · Answer 6 · 2026-03-29 09:11:50

117

Views

Does the (pseudo)functor that assigns a commutative monoid $M$ to the topos of $M\text{-Sets}$ preserve limits?

Published on 29 Mar 2026 - 9:11

score 207 · Answer 7 · 2022-02-08 07:14:25

207

Views

Is the structure presheaf of $\text{Spec}(A)$ a limit of presheaves?

Published on 08 Feb 2022 - 7:14

score 142 · Answer 8 · 2026-03-28 01:13:41

142

Views

Constructing the topological product space from categorical universal property

Published on 28 Mar 2026 - 1:13

score 346 · Answer 9 · 2022-02-18 23:33:42

346

Views

Limits in the category of topological spaces must come equipped with the initial topology

Published on 18 Feb 2022 - 23:33

score 87 · Answer 10 · 2022-02-21 18:04:42

87

Views

Showing the limit of the discrete category defines the usual product.

Published on 21 Feb 2022 - 18:04

score 310 · Answer 11 · 2022-03-07 18:32:38

310

Views

Is the limit of a family of sheaves a sheaf?

Published on 07 Mar 2022 - 18:32

score 91 · Answer 12 · 2022-03-15 10:56:42

91

Views

Spec commutes with cofiltered limits in concrete example

Published on 15 Mar 2022 - 10:56

score 263 · Answer 13 · 2022-03-19 01:47:33

263

Views

Definition of finitely generated module versus finite type in category R-Mod

Published on 19 Mar 2022 - 1:47

score 82 · Answer 14 · 2026-03-29 09:11:29

82

Views

The open $n$-cells of a CW-complex are open in the CW-complex

Published on 29 Mar 2026 - 9:11

score 29 · Answer 15 · 2022-03-28 17:58:02

29

Views

Applications of bounded cocomplete semilattices

Published on 28 Mar 2022 - 17:58

List Question

Colimits of a diagram over an ordinal number

Simpler description of pushout in $\mathsf{Set}$ and $\mathsf{Top}$ when one of the two maps is injective

Are singleton sets nullary products or unary products in the category of sets? (Or are they both nullary and unary simultaneously?)

Counterexample: existence of categorical product of family does not imply existence of categorical product of subfamily

Existence of Limits in Category theory in Roman's book

Does the (pseudo)functor that assigns a commutative monoid $M$ to the topos of $M\text{-Sets}$ preserve limits?

Is the structure presheaf of $\text{Spec}(A)$ a limit of presheaves?

Constructing the topological product space from categorical universal property

Limits in the category of topological spaces must come equipped with the initial topology

Showing the limit of the discrete category defines the usual product.

Is the limit of a family of sheaves a sheaf?

Spec commutes with cofiltered limits in concrete example

Definition of finitely generated module versus finite type in category R-Mod

The open $n$-cells of a CW-complex are open in the CW-complex

Applications of bounded cocomplete semilattices

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